-3x+9 = -3(2x+3) + 3(x-4)+1
distribute
-3x+9 =-6x-9+3x-12+1
add like terms
-3x+9= -3x-20
add 3x to each side
9 = -20
there are no solutions because 9 does not equal -20
Answer:
Option "D" is the correct answer to the following question.
Step-by-step explanation:
Given:
Length of painting = 25 inch
Height of painting = 16 inch
Width of frame = w inch
Find:
Area of Picture with frame
Computation:
New length of painting = 25 + w + w
New length of painting = 25 + 2w inch
New height of painting = 16 + w + w
New height of painting = 16 + 2w
Area = l x b
So,
Area of Picture with frame = [25 + 2w][16 + 2w]
Area of Picture with frame = 400 + 50w + 32w + 4w²
Area of Picture with frame = 4w² + 82w + 400
If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²
If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in
The height is 9.6 in.
The purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.
<h3>What is the ratio?</h3>
It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The question is incomplete.
The complete question is in the picture, please refer to the picture.
Total number of pieces = 3+5 = 8
So, the purple pieces = 5(5/8) = 35
Total pieces = 20/(5/8) = 4×8 = 32
Thus, the purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ1
The correct answer is b) 2
